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Finding the Fourth Proportional to 20,134.32, 30,205.68 and 10,144.68

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Solution

The fourth proportional to 20,134.32, 30,205.68 and 10,144.68 is: 15,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.32 : 30,205.68 = 10,144.68 : x
  2. Step 2: Convert to fraction form
    20,134.32/30,205.68 = 10,144.68/x
  3. Step 3: Cross multiply
    20,134.32x = 30,205.68 × 10,144.68
  4. Step 4: Simplify right side
    20,134.32x = 306,426,957.78
  5. Step 5: Solve for x
    x = 306,426,957.78/20,134.32
  6. Step 6: Final answer
    x = 15,219.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.